Pure Spinors for General Backgrounds

Abstract

We show the equivalence of the different types of pure spinor constraints geometrically derived from the Free Differential Algebras of N=2 d=10 supergravities. Firstly, we compute the general solutions of these constraints, using both a G_2 and an SO(8) covariant decomposition of the 10d chiral spinors. Secondly, we verify that the number of independent degrees of freedom is equal to that implied by the Poincare' pure spinor constraints so-far used for superstrings, namely twenty two. Thirdly, we show the equivalence between the FDA type IIA/B constraints among each other and with the Poincare' ones.

18 pp., no figures, latex

References in corpus (7)

• Super-Poincare Covariant Quantization of the Superstring
• Lectures on curved beta-gamma systems, pure spinors, and anomalies
• On the Berkovits Covariant Quantization of GS Superstring
• Explaining the Pure Spinor Formalism for the Superstring
• Pure Spinors, Free Differential Algebras, and the Supermembrane
• Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds
• Free Differential Algebras, Rheonomy, and Pure Spinors

Cited by in corpus (4)

• Pure Spinor Formalism for Osp(N|4) backgrounds
• Superstrings on AdS_4 x CP^3 from Supergravity
• Exceptional N=6 and N=2 AdS_4 Supergravity, and Zero-Center Modules
• Pure Spinor Superstrings on Generic type IIA Supergravity Backgrounds